Equi-Statistical Extension of the Korovkin Type Approximation Theorem
In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.
Anahtar Kelimeler:
Equi-statistical convergence, positive linear operator, Korovkin type theorem
Equi-Statistical Extension of the Korovkin Type Approximation Theorem
In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Equi-Statistical Extension of the Korovkin Type Approximation Theorem
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